MATHEMATICS MIDDLE SCHOOL

Suppose y varies directly with x. If y = -2 when x = 1, what is the value of x when y = 4?

Answers

Answer 1

Answer:

When x = 1, y = -2

When y = 4 = -2 x -2

Therefore x = 1 x -2 = -2

Hope this helps!

Answer 2

Answer: x = 6 i think. not too sure never had this type of question before

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David charges $15 plus $5.50 per hour to mow lawns. Ari charges $12 plus $6.25 per hour to mow lawns. In what situations is Ari's charge greater than or equal to David's charge?

Answers

Let's write an equation for what David charges.
Let x equal the number of hours he has been moving lawns and y be the charge.
Every hour, you must add another $5.50.
This is the same as multiplying the number of hours by 5.50.
We also need to add that $15 at the beginning. This leaves our equation as
$y=5.50x+15$

Now, let's write one for Ari.
6.25 per hour...6.25x.
Add the 12 and we get
$y=12x+6.25$

To find when the two are equal, we can set up this equation:
$5.50x+15=12x+6.25$

Now, let's simplify. Since all of our decimals are either halves or quarters, you can multiply everything by 4 to get rid of them.
$22x+60=48x+25$

Subtract 22x from each side to get x on one side.
$60=26x+25$

Subtract 26 from each side to get x alone.
$35=26x$

Divide by 26 to find the value of x.
$x=35/26\approx1.346$

What does this tell us? Well, it tells us that when our number of hours reaches 1.346, their charges are equal.

(The .346 can be estimated as around 20 minutes because it's pretty close to .333, or a third of an hour. This puts 1.346 hours at an hour and 20 minutes.)

We still haven't answered one part of the question, though...after that 1:20 time frame, who is charging more? Well, let's say we had them mow lawns for two hours. Using 2 for x in those earlier equations gives us these values:

$David:\ y=5.50(2)+15=11+15=26$
$Ari:\ y=6.25(2)+12=13+12=25$

It seems that Ari charges less than David past that 1:20 point.

Since the question asked "when is Ari's charge greater than or equal to David's" we would respond by saying whenever he mows lawns for less than an hour and 20 minutes.

Lorna has 60$ and her sister has 120$ Lorna saves 7$ Per week and solution represent the number of weeks w it will take for girls to have the same amount of money

Answers

Let x be the amount of weeks.

60 + 7x = 120
60 - 60 + 7x = 120 - 60
7/7x = 60/7
x = 8.571428571

How do you express 68,070,000,000,000 in Scientific Notation?

Answers

so since scientific notation is
(a number more than 1 and less than 10) times 10^x

move the decimal place to the left and count the places until the decimal is between the 6 and the 8
the number is 13
6.807 times 10^13 or
6.807e+13

6,807 times 10 to the power of 10

40 percent of the 35 male guests wear glasses. Write the number of male guests who wear glasses as a fraction of the 56 guests. Give your answer in its simplest form.

Answers

First off, to find the number of male guests who wear glasses, you multiply the number of guest (35) by 40% (.4).
$35(.4)=14$

Now just put the number of male guests wearing glasses (14) in fraction form over the total number of guests (56) and simplify.
$(14)/(56) = (7)/(28) = (1)/(4)$

$(1)/(4)$ of the guests are males who wear glasses.

Final answer:

Out of 35 male guests, 40% wear glasses. So, the number of male guests who wear glasses is 14. As a fraction of the total 56 guests, this can be represented as 1/4.

Explanation:

To find the number of male guests who wear glasses as a fraction of the total guests, we need to first calculate the number of male guests who wear glasses.

Out of the 35 male guests, 40% wear glasses.

40% of 35 is calculated as 0.4 * 35 = 14.

So, there are 14 male guests who wear glasses.

Now, to express this as a fraction of the total 56 guests, we write it as 14/56. This fraction can be simplified to 1/4 by dividing the numerator and denominator by 14.

Learn more about Calculating fractions here:

brainly.com/question/29633725

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Please help!!! Cuz I need this quick

Answers

Answer:

50 dollars a month is added

Step-by-step explanation:

150/3=50 and 300/6=50

Answer:

150 dollars

Step-by-step explanation:

She adds 150 every 3 months.

Draw a line to show the mixed numbers fractions that have the same value I need help ASAP please help me. Sorry about the quality

Answers

Answer:

13/4 = 3 1/4

Step-by-step explanation:

You can convert each improper fraction to a mixed number, or vice versa to answer this.

I started by looking at the fractions with 4 in the denominator, since there are two mixed numbers with 4 in the denominator. Below we show the conversions of all of the mixed numbers.

To convert a mixed number to an improper fraction, multiply the integer by the denominator and add the numerator. Express the total over the denominator:

$k+(n)/(d)=(kd+n)/(d)$

So, you have ...

1 3/4 = (4+3)/4 = 7/4
5 1/6 = (5·6 +1)/6 = 31/6
3 2/5 = (3·5 +2)/6 = 17/5
3 1/4 = (3·4 +1)/4 = 13/4 . . . . matches the first improper fraction

The appropriate choice is ...

13/4 = 3 1/4

_____

You can also convert the improper fractions to mixed numbers. Divide the numerator by the denominator. The result is an integer and a remainder. The remainder is expressed over the divisor as a fraction:

13/4 = 3 remainder 1 = 3 1/4 . . . . matches the last mixed number
16/5 = 3 remainder 1 = 3 1/5
31/4 = 7 remainder 3 = 7 3/4
17/6 = 2 remainder 5 = 2 5/6

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